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Finding the Third Proportional to 83,197,976 and 185,514,712

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Solution

The third proportional to 83,197,976 and 185,514,712 is: 413,660,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,197,976 : 185,514,712 = 185,514,712 : x
  2. Step 2: Convert to fraction form
    83,197,976/185,514,712 = 185,514,712/x
  3. Step 3: Cross multiply
    83,197,976x = 185,514,712 × 185,514,712
  4. Step 4: Simplify right side
    83,197,976x = 34,415,708,368,442,944
  5. Step 5: Solve for x
    x = 34,415,708,368,442,944/83,197,976
  6. Step 6: Final answer
    x = 413,660,404.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.